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Created by:
Last updated:
September 23, 2023
Duration:
EXPIRED
FREE
This course includes:
EXPIRED
Badge on Completion
Certificate of completion
EXPIRED
Description
Quantum Mechanics I. Instructor: Professor S. Lakshmi Bala, Department of Physics, IIT Madras.
This course covers basic concepts of quantum mechanics and mathematical preliminaries, eigenvalues, expectation values, measurement and the uncertainty principle, time evolution of wavepackets, 1-dimensional potential well problems, simple harmonic oscillator, central force problems, orbital angular momentum and spin, hydrogen atom, the Schrodinger and Heisenberg pictures, the interaction picture, the deuteron, invariance principles and conservation laws, charged particle in magnetic field, and elements of perturbation theory. (from nptel.ac.in)
Course Curriculum
- Lecture 01 – Introduction Unlimited
- Lecture 02 – Linear Vector Spaces I Unlimited
- Lecture 03 – Linear Vector Spaces II: Two-Level Atom Unlimited
- Lecture 04 – Linear Vector Spaces III: The 3-Level Atom Unlimited
- Lecture 05 – Postulates of Quantum Mechanics I Unlimited
- Lecture 06 – Postulates of Quantum Mechanics II Unlimited
- Lecture 07 – The Uncertainty Principle Unlimited
- Lecture 08 – The Linear Harmonic Oscillator Unlimited
- Lecture 09 – Introducing Quantum Optics Unlimited
- Lecture 10 – An Interesting Quantum Superposition: The Coherent State Unlimited
- Lecture 11 – The Displacement and Squeezing Operators Unlimited
- Lecture 12 – Exercises in Finite Dimensional Linear Vector Spaces Unlimited
- Lecture 13 – Exercises on Angular Momentum Operators and Their Algebra Unlimited
- Lecture 14 – Exercises on Quantum Expectation Values Unlimited
- Lecture 15 – Composite Systems Unlimited
- Lecture 16 – The Quantum Beam Splitter Unlimited
- Lecture 17 – Addition of Angular Momenta I Unlimited
- Lecture 18 – Addition of Angular Momenta II Unlimited
- Lecture 19 – Addition of Angular Momenta III Unlimited
- Lecture 20 – Infinite Dimensional Linear Vector Spaces Unlimited
- Lecture 21 – Square-Integrable Functions Unlimited
- Lecture 22 – Ingredients of Wave Mechanics Unlimited
- Lecture 23 – The Schrodinger Equation Unlimited
- Lecture 24 – Wave Mechanics of the Simple Harmonic Oscillator Unlimited
- Lecture 25 – One-Dimensional Square Well Potential: The Bound State Problem Unlimited
- Lecture 26 – The Square Well and the Square Potential Barrier Unlimited
- Lecture 27 – The Particle in a One-dimensional Box Unlimited
- Lecture 28 – A Charged Particle in a Uniform Magnetic Field Unlimited
- Lecture 29 – The Wavefunction: Its Single-valuedness and its Phase Unlimited
- Lecture 30 – The Central Potential Unlimited
- Lecture 31 – The Spherical Harmonics Unlimited
- Lecture 32 – Central Potential: The Radial Equation Unlimited
- Lecture 33 – Illustrative Exercises I: Two Interacting Oscillators, Nonlinear Hamiltonians… Unlimited
- Lecture 34 – Illustrative Exercises II: Dynamics of a Particle in a Box, Harmonic Oscillator… Unlimited
- Lecture 35 – Ehrenfest’s Theorem Unlimited
- Lecture 36 – Perturbation Theory I: Time-independent Hamiltonian, Perturbative Series… Unlimited
- Lecture 37 – Perturbation Theory II: Anharmonic Perturbation, Second-order Perturbation Theory Unlimited
- Lecture 38 – Perturbation Theory III: Non-degenerate First-order Perturbation … Unlimited
- Lecture 39 – Perturbation Theory IV: Degenerate Perturbation, Hydrogen Atom … Unlimited
- Lecture 40 – Time-dependent Hamiltonians Unlimited
- Lecture 41 – The Jaynes-Cummings Model Unlimited
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